Establishment of Design Hyetographs of 24-hour Duration Using a Bivariate Gumbel-Hougaard Copula

Abstract

Yang, X.; Wang, J.; Weng, S.G.; Hou, M.; Zhang, X.Y., and Wang, T.S., 2020. Establishment of Design Hyetographs of 24-hour duration using a bivariate Gumbel-Hougaard copula. In: Guido Aldana, P.A. and Kantamaneni, K. (eds.), Advances in Water Resources, Coastal Management, and Marine Science Technology. Journal of Coastal Research, Special Issue No. 104, pp. 166–171. Coconut Creek (Florida), ISSN 0749-0208.Design hyetograph with a given return period and selected combinations of rainfall depth, peak intensity and duration, is widely used in engineering design. Recent hydrologic studies on multivariate stochastic analysis of extreme rainfall event have shown that these variables related to design hyetograph are partially correlated, and that copulas perform well for multivariate problems. Therefore, the main aim of the study is to develop a new method using Gumbel-Hougaard copula to construct design hyetograph. Firstly fixing the rainfall duration and rainfall return period, then the pairs total rainfall depth-the corresponding peak can be determined using a specified conditional risk probability, finally the dimensionless hyetograph is scaled to fit the specified design total rainfall depth and the corresponding peak. Shenzhen (China) was chosen for case study, and T-year (50-yr, 100-yr, 200-yr) design hyetographs of 24 h duration were discussed. The proposed method provides an effective rule to optimize the choices for the design hyetograph variables.